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Finding the Fourth Proportional to 280.89, 421.49 and 183.38

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Solution

The fourth proportional to 280.89, 421.49 and 183.38 is: 275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.89 : 421.49 = 183.38 : x
  2. Step 2: Convert to fraction form
    280.89/421.49 = 183.38/x
  3. Step 3: Cross multiply
    280.89x = 421.49 × 183.38
  4. Step 4: Simplify right side
    280.89x = 77,291.19
  5. Step 5: Solve for x
    x = 77,291.19/280.89
  6. Step 6: Final answer
    x = 275.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.